Least Common Multiple of 39235 and 39243

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

• Least Common Multiple of 39235 and 39243 by Prime method
• Least Common Multiple of 39235 and 39243 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 39235 and 39243. First we will calculate the prime factors of 39235 and 39243.

Prime Factorization of 39235

Prime factors of 39235 are 5, 7, 19,59. Prime factorization of 39235 in exponential form is:

39235 = 5¹×7¹×19¹×59¹

Prime Factorization of 39243

Prime factors of 39243 are 3, 103,127. Prime factorization of 39243 in exponential form is:

39243 = 3¹×103¹×127¹

Now multiplying the highest exponent prime factors to calculate the LCM of 39235 and 39243.

LCM(39235,39243) = 3¹×5¹×7¹×19¹×59¹×103¹×127¹
LCM(39235,39243) = 1539699105

Factors of 39235

List of positive integer factors of 39235 that divides 39235 without a remainder.

1, 5, 7, 19, 35, 59, 95, 133, 295, 413, 665, 1121, 2065, 5605, 7847, 39235

Factors of 39243

List of positive integer factors of 39243 that divides 39243 without a remainder.

1, 3, 103, 127, 309, 381, 13081, 39243

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39235 and 39243, than apply into the LCM equation.

GCF(39235,39243) = 1
LCM(39235,39243) = ( 39235 × 39243) / 1
LCM(39235,39243) = 1539699105 / 1
LCM(39235,39243) = 1539699105

(i) The LCM of 39243 and 39235 is associative

LCM of 39235 and 39243 = LCM of 39243 and 39235

1. What is the LCM of 39235 and 39243?

Answer: LCM of 39235 and 39243 is 1539699105.

2. What are the Factors of 39235?

Answer: Factors of 39235 are 1, 5, 7, 19, 35, 59, 95, 133, 295, 413, 665, 1121, 2065, 5605, 7847, 39235. There are 16 integers that are factors of 39235. The greatest factor of 39235 is 39235.

3. What are the Factors of 39243?

Answer: Factors of 39243 are 1, 3, 103, 127, 309, 381, 13081, 39243. There are 8 integers that are factors of 39243. The greatest factor of 39243 is 39243.

4. How to Find the LCM of 39235 and 39243?

Answer:

Least Common Multiple of 39235 and 39243 = 1539699105

Step 1: Find the prime factorization of 39235

39235 = 5 x 7 x 19 x 59

Step 2: Find the prime factorization of 39243

39243 = 3 x 103 x 127

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 1539699105 = 3 x 5 x 7 x 19 x 59 x 103 x 127

Step 4: Therefore, the least common multiple of 39235 and 39243 is 1539699105.